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Finding the Fourth Proportional to 4,297.96, 5,961.48 and 4,184.16

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Solution

The fourth proportional to 4,297.96, 5,961.48 and 4,184.16 is: 5,803.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.96 : 5,961.48 = 4,184.16 : x
  2. Step 2: Convert to fraction form
    4,297.96/5,961.48 = 4,184.16/x
  3. Step 3: Cross multiply
    4,297.96x = 5,961.48 × 4,184.16
  4. Step 4: Simplify right side
    4,297.96x = 24,943,786.16
  5. Step 5: Solve for x
    x = 24,943,786.16/4,297.96
  6. Step 6: Final answer
    x = 5,803.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.